REU Site: IUPUI REU Program in Mathematics with Applications to Medicine, Neuroscience, and Engineering

REU 网站：IUPUI REU 数学及其在医学、神经科学和工程中的应用项目

• 批准号: 1852146
• 负责人: Julia Arciero
• 金额: $ 23.04万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-02-15 至 2025-01-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1852146&HistoricalAwards=false
• 关键词: REU; Site; IUPUI; Program; Mathematics; REU; Site; IUPUI; Program; Mathematics

The REU Program at Indiana University-Purdue University Indianapolis (IUPUI) will provide eight undergraduate students from across the United States with the opportunity to conduct mathematics research applied to medicine, neuroscience, and engineering. The students will spend seven weeks during the summer in Indianapolis working with faculty mentors from the IUPUI Department of Mathematical Sciences and Department of Mechanical Engineering on one of four main projects: modeling treatment strategies for heart transplant patients, investigating the influence of addictive drugs on the brain, simulating cancer cell motion, and designing novel topology optimization methods for impact-protective structures. Research in mathematics provides students with important skills that they can use to analyze and solve problems in all disciplines and environments. This program is extremely beneficial to undergraduate students because it introduces students to interdisciplinary research, it connects students with professors who will become important mentors and role models in their lives, and it yields new results that will impact multiple scientific disciplines, including immunology, oncology, emergency medicine, and mechanical engineering. As the world continues to make technological advances at an incredibly rapid pace, there is an increased need for scientists and engineers. Exposing the IUPUI REU Program students to applied mathematics research will encourage many of these students to pursue careers in STEM-related fields and will ultimately provide the United States with individuals who possess a deep knowledge of modern science and who are well equipped to have an impact on science and technology in the public and private sectors. The REU projects address new and open problems in applied mathematics, and the progress that the students make on the respective projects will advance research in transplant immunology, fluid dynamics, neuroscience, and mechanical engineering. Students participating in the first REU project will work closely with a mathematician and immunologist to design, analyze, and validate a mathematical model of mouse heart transplantation and potential adoptive transfer therapeutic approaches. The second project involves the development of a mathematical model of cancer cell motion in microfluidic devices and vessels in order to determine possible methods for decreasing cancer cell metastasis. In the third project, the students will develop a mathematical model for mesocortical representations of choices and the influence of drugs of abuse (mainly alcohol) on them. Behavioral and in vivo electrophysiological approaches will be combined with computational modeling to integrate data obtained in different experimental setups to reveal mechanisms of alcohol influence and to make and test predictions in silico. A fourth project will focus on the analytical derivation and numerical implementation of novel topology optimization methods and their application to the design of impact-protective structures. Students will apply a numerical approach to determine the most effective material distribution for synthesizing complex, high-performance structures without any preconceived shape.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

印第安纳大学普渡大学印第安纳波利斯（IUPUI）的REU计划将为来自美国各地的八名本科生提供有机会进行医学，神经科学和工程的数学研究。在夏季，学生将在印第安纳波利斯度过七个星期的时间，与IUPUI数学科学系的教师导师和机械工程系的教师在四个主要项目之一上：为心脏移植患者建模治疗策略，研究成瘾性药物对大脑的影响，对癌细胞运动的影响，模拟癌症运动和设计新颖的拓扑化方法，以造成影响力结构。 数学研究为学生提供了重要的技能，可以用来分析和解决所有学科和环境中的问题。 该计划对本科生非常有益，因为它介绍了学生进行跨学科研究，它将学生与将成为生活中重要的导师和榜样的教授联系起来，并且会产生新的结果，这些结果将影响多个科学学科，包括免疫学，肿瘤学，急诊医学和机械工程。 随着世界继续以令人难以置信的快速发展，对科学家和工程师的需求越来越大。 将IUPUI REU计划的学生揭露应用数学研究，将鼓励许多这些学生在与STEM相关的领域从事职业，并最终为美国提供对现代科学有深刻了解并且有能力对公共和私营部门的科学技术有足够影响的个人。 REU项目解决了应用数学方面的新问题，学生在各个项目上取得的进展将提高有关移植免疫学，流体动力学，神经科学和机械工程的研究。 参加第一个REU项目的学生将与数学家和免疫学家紧密合作，以设计，分析和验证小鼠心脏移植的数学模型以及潜在的收养转移治疗方法。 第二个项目涉及在微流体设备和血管中开发癌细胞运动的数学模型，以确定降低癌细胞转移的可能方法。 在第三个项目中，学生将开发一种数学模型，用于选择选择的中皮层表示以及滥用药物（主要是酒精）的影响。 行为和体内电生理方法将与计算建模相结合，以整合在不同的实验设置中获得的数据，以揭示酒精影响的机制，并在计算机中进行和测试预测。 第四个项目将重点介绍新拓扑优化方法的分析推导和数值实施，并将其应用于影响保护结构的设计。学生将采用一种数值方法来确定合成复杂，高性能结构的最有效材料分布，而没有任何先入为主的形状。本奖反映了NSF的法定任务，并被认为是通过基金会的智力优点和更广泛的影响来通过评估来获得支持的。